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Q.

Which of the following is equal to x? 


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a

x 12 7 − x 5 7  

b

x 4 1 3 12  

c

x 3 2 3  

d

x 12 7 × x 7 12   

answer is C.

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Detailed Solution

1)        It is given that x 12 7 − x 5 7  .
x 12 7 − x 5 7 = x 5 7 +1 − x 5 7  
= x 5 7 ⋅x− x 5 7 = x 5 7 (x−1) ≠x  
2)   It is given that x 4 1 3 12  .
x 4 1 3 12 = x 4 1 3 1 12   = x 4× 1 3 × 1 12 = x 1 9 ≠x  
3)      It is given that x 3 2 3  . x 3 2 3 = x 3 2 2 3  
= x 3 2 × 2 3 =x  
4)      It is given that   x 12 7 × x 7 12  .
  x 12 7 × x 7 12 = x 12 7 + 7 12  
= x 144+49 84 = x 193 84 ≠x  
Therefore, the correct option is (3).
 
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Which of the following is equal to x?